100111211101001 has 12 divisors (see below), whose sum is σ = 105840654124212. Its totient is φ = 94677828562944.

The previous prime is 100111211100949. The next prime is 100111211101021. The reversal of 100111211101001 is 100101112111001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94818906250000 + 5292304851001 = 9737500^2 + 2300501^2 .

It is not a de Polignac number, because 100111211101001 - 2¹⁸ = 100111210838857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111211101021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240100520 + ... + 240517113.

It is an arithmetic number, because the mean of its divisors is an integer number (8820054510351).

Almost surely, 2^{100111211101001} is an apocalyptic number.

It is an amenable number.

100111211101001 is a deficient number, since it is larger than the sum of its proper divisors (5729443023211).

100111211101001 is an equidigital number, since it uses as much as digits as its factorization.

100111211101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480618248 (or 480618229 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111211101001 its reverse (100101112111001), we get a palindrome (200212323212002).

The spelling of 100111211101001 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, one hundred one thousand, one".